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Irina-Kira [14]
2 years ago
8

Find the midpoint between two points on a coordinate plane whose coordinates are (5.7) and (-3, 1).

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
6 0

Answer:

(1,4)

Step-by-step explanation:

if~(x,y)~is~mid~point~of~(x_{1},y_{1})~and~ (x_{2},y_{2}~then\\x=\frac{x_{1}+x_{2}}{2} \\y=\frac{y_{1}+y_{2}}{2} \\x=\frac{5-3}{2} =\frac{2}{2}=1\\y=\frac{7+1}{2} =\frac{8}{2} =4

(x,y)→(1,4)

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-22<br> 52<br> -33<br> 71<br> -44<br> What is the x-intercept of the line?
swat32

Answer:

30

Step-by-step explanation:

5 0
3 years ago
Enter the domain and range of the function g(x) = 9x2 − 5 as an inequality, using set notation and using interval notation. Comp
tia_tia [17]

The domain and the range of a function are the set of input and output values, the function can take.

  • <em>The domain and the range of </em>g(x) = 9x^2 - 2<em> is </em>(-\infty, \infty)<em>.</em>
  • <em>The parent function </em>f(x) =x^2<em> is vertically compressed by 9, then shifted down by 5 units to get </em>g(x) = 9x^2 - 2<em />

<em />

Given

g(x) = 9x^2 - 2

<u>Domain and range</u>

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are (-\infty, \infty)

(-\infty, \infty) is in interval notation

The corresponding set notation is: - \infty < x < \infty

<u />

<u>The parent function</u>

We have:

f(x) = x^2

First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

(x,y) \to (x,9y)

So, we have:

f'(x) = 9x^2

Next, the function is shifted down by 5 units.

So, we have:

g(x) = f'(x) - 5

g(x) = 9x^2 - 5

Read more about functions at:

brainly.com/question/21027387

4 0
2 years ago
400 passengers go on a coach trip.
Nataliya [291]
Go be to if Derek ID do oh next 37
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3 years ago
A rotation ____________ a figure around a fixed point called the center of<br> ________________.
Irina-Kira [14]

Answer:

A rotation ____on the coordinate plane________ a figure around a fixed point called the center of

___rotation_____________.

4 0
2 years ago
If quadrilateral PQRS is a rectangle, then which of the following is true? ∠PSQ ≅ ∠QSR segment SR ≅ segment RQ segment PS ≅ segm
natima [27]

Answer:

Because the diagonals of a rectangle are congruent, the statement "segment SQ ≅ segment PR" is true.

5 0
3 years ago
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